Big IdeaMany important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.Essential Question: What methods are there for comparing things?
Problem 4.1 Fuel Economy
Alena Cover
Block D Math
December
After graduating from the University of Colorado, Luis and Madeline both got teaching jobs in Denver. They each bought a new car for commuting to work, and one afternoon they had a friendly argument about whose car was better. Luis claimed his car was more fuel efficient. Madeline challenged him to prove his claim. Since they would both be traveling home for Thanksgiving, Luis suggested that they use their trips to test the gas mileage of their cars.
Use gasoline and mileage data to help settle Madeline and Luis’s argument.
Which car do you think is more fuel efficient on the highway? Explain how you decided and why you think you are correct.
Luis drives 226 miles and uses 15 gallons of gas. If I divide 226 by 15 I get the number of miles he can go per one gallon, which is 15.066.
Madeline drives 290 miles and uses 19 gallons of gas. 290 divided by 19 is 15.263.
15.263 > 15.066
Madeline has better fuel efficiency.
Problem 4.1 Follow up
Would it make sense to use percents to settle this argument?
It would not make sense to use percent to settle this argument because they would be too small for you to easily compare them.
What methods are there for comparing things?
Alena Cover
Block D Math
December
After graduating from the University of Colorado, Luis and Madeline both got teaching jobs in Denver. They each bought a new car for commuting to work, and one afternoon they had a friendly argument about whose car was better. Luis claimed his car was more fuel efficient. Madeline challenged him to prove his claim. Since they would both be traveling home for Thanksgiving, Luis suggested that they use their trips to test the gas mileage of their cars.
Use gasoline and mileage data to help settle Madeline and Luis’s argument.
Which car do you think is more fuel efficient on the highway? Explain how you decided and why you think you are correct.
Luis drives 226 miles and uses 15 gallons of gas. If I divide 226 by 15 I get the number of miles he can go per one gallon, which is 15.066.
Madeline drives 290 miles and uses 19 gallons of gas. 290 divided by 19 is 15.263.
15.263 > 15.066
Madeline has better fuel efficiency.
Problem 4.1 Follow up
Would it make sense to use percents to settle this argument?
It would not make sense to use percent to settle this argument because they would be too small for you to easily compare them.